Solve for x. −3x(5x+1)(8−2x)

Identify equation: Identify the equation to be solved. The equation given is −3x(5x+1)(8−2x). To find the value of x that satisfies this equation, we need to set the equation equal to zero and solve for x.Set to zero: Set the equation equal to zero. −3x(5x+1)(8−2x) = 0 To solve for x, we need to find the values of x that make the entire expression equal to zero. This can be done by setting each factor in the equation equal to zero.Factor 1: Set each factor equal to zero and solve for x. First factor: −3x = 0 To solve for x, we divide both sides by -3. x = 0 / -3 x = 0Factor 2: Solve the second factor. Second factor: 5x + 1 = 0 To solve for x, we subtract 1 from both sides. 5x = -1 Then, we divide both sides by 5. x = -1 / 5 x = -0.2Factor 3: Solve the third factor. Third factor: 8 - 2x = 0 To solve for x, we add 2x to both sides. 8 = 2x Then, we divide both sides by 2. x = 8 / 2 x = 4

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Solve for $x$ . $\newline$ $-3x(5x + 1)(8 - 2x)$ $\newline$

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Algebra 1

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Q. Solve for

x

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-3x(5x + 1)(8 - 2x)

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Identify equation: Identify the equation to be solved. $\newline$ The equation given is $-3x(5x+1)(8-2x)$ . To find the value of $x$ that satisfies this equation, we need to set the equation equal to zero and solve for $x$ .
Set to zero: Set the equation equal to zero. $\newline$ $-3x(5x+1)(8-2x) = 0$ $\newline$ To solve for $x$ , we need to find the values of $x$ that make the entire expression equal to zero. This can be done by setting each factor in the equation equal to zero.
Factor $1$ : Set each factor equal to zero and solve for $x$ . $\newline$ First factor: $-3x = 0$ $\newline$ To solve for $x$ , we divide both sides by $-3$ . $\newline$ $x = 0 / -3$ $\newline$ $x = 0$
Factor $2$ : Solve the second factor. $\newline$ Second factor: $5x + 1 = 0$ $\newline$ To solve for $x$ , we subtract $1$ from both sides. $\newline$ $5x = -1$ $\newline$ Then, we divide both sides by $5$ . $\newline$ $x = -\frac{1}{5}$ $\newline$ $x = -0.2$
Factor $3$ : Solve the third factor. $\newline$ Third factor: $8 - 2x = 0$ $\newline$ To solve for $x$ , we add $2x$ to both sides. $\newline$ $8 = 2x$ $\newline$ Then, we divide both sides by $2$ . $\newline$ $x = \frac{8}{2}$ $\newline$ $x = 4$